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Finding the Fourth Proportional to 213.40, 294.49 and 126.10

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Solution

The fourth proportional to 213.40, 294.49 and 126.10 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 294.49 = 126.10 : x
  2. Step 2: Convert to fraction form
    213.40/294.49 = 126.10/x
  3. Step 3: Cross multiply
    213.40x = 294.49 × 126.10
  4. Step 4: Simplify right side
    213.40x = 37,135.19
  5. Step 5: Solve for x
    x = 37,135.19/213.40
  6. Step 6: Final answer
    x = 174.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.